Why doesn't the temperature of melting ice rise as the ice is heated?

Question

Why doesn't the temperature of melting ice rise as the ice is heated?

Answer 1

It does. It rises to 32 degrees then changes to liquid

Answer 2

Ice still has 80 calories/gram stored in it. This is called heat of fusion. It still has to be converted (melted) to liquid form before you can raise its temperature. And for it to change to liquid, it still has to give up energy equal to its mass x the heat of fusion.